86127680 has 56 divisors (see below), whose sum is σ = 212186520. Its totient is φ = 33259520.

The previous prime is 86127637. The next prime is 86127683. The reversal of 86127680 is 8672168.

It can be written as a sum of positive squares in 4 ways, for example, as 24285184 + 61842496 = 4928^2 + 7864^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86127683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4640 + ... + 13920.

It is an arithmetic number, because the mean of its divisors is an integer number (3789045).

Almost surely, 2^86127680 is an apocalyptic number.

86127680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 9280×9281.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106093260).

86127680 is an abundant number, since it is smaller than the sum of its proper divisors (126058840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86127680 is a wasteful number, since it uses less digits than its factorization.

86127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9317 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 86127680 is about 9280.4999865309. The cubic root of 86127680 is about 441.6188301499.

The spelling of 86127680 in words is "eighty-six million, one hundred twenty-seven thousand, six hundred eighty".